10002020102013 has 32 divisors (see below), whose sum is σ = 13816165046400. Its totient is φ = 6428625428736.

The previous prime is 10002020101963. The next prime is 10002020102029. The reversal of 10002020102013 is 31020102020001.

It is not a de Polignac number, because 10002020102013 - 2⁶ = 10002020101949 is a prime.

It is a super-2 number, since 2×10002020102013² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10002020102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002020102093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229524495 + ... + 229568067.

It is an arithmetic number, because the mean of its divisors is an integer number (431755157700).

Almost surely, 2^{10002020102013} is an apocalyptic number.

It is an amenable number.

10002020102013 is a deficient number, since it is larger than the sum of its proper divisors (3814144944387).

10002020102013 is a wasteful number, since it uses less digits than its factorization.

10002020102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47421.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10002020102013 its reverse (31020102020001), we get a palindrome (41022122122014).

The spelling of 10002020102013 in words is "ten trillion, two billion, twenty million, one hundred two thousand, thirteen".